Self-scheduled H∞ linear parameter-varying systems

This paper is concerned with H_∞-like control of a class of linear parameter-varying (LPV) plants. Here the state-space entries of the plant are assumed to depend affinely on a time-varying vector θ of real parameters which is measured in real-time. These parameter measurements are incorporated in the control law to optimize the performance and robustness of the closed-loop system. The resulting controller is therefore time-varying and automatically "gain-scheduled" along the parameter trajectories. Complete solvability conditions are obtained for continuous- and discrete-time systems in terms of linear matrix inequalities (LMI) and a physically motivated example demonstrates the advantages and performance of the proposed methodology.